122310213102000 has 1440 divisors, whose sum is σ = 543855208163904. Its totient is φ = 25333281792000.

The previous prime is 122310213101987. The next prime is 122310213102023. The reversal of 122310213102000 is 201312013221.

122310213102000 is a `hidden beast` number, since 1 + 2 + 2 + 310 + 21 + 310 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3036705862 + ... + 3036746138.

Almost surely, 2^{122310213102000} is an apocalyptic number.

122310213102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122310213102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271927604081952).

122310213102000 is an abundant number, since it is smaller than the sum of its proper divisors (421544995061904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122310213102000 is a wasteful number, since it uses less digits than its factorization.

122310213102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40644 (or 40618 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122310213102000 its reverse (201312013221), we get a palindrome (122511525115221).

The spelling of 122310213102000 in words is "one hundred twenty-two trillion, three hundred ten billion, two hundred thirteen million, one hundred two thousand".